SOLUTION: In the expansion of (1+x)^a + (1+x)^b , the coefficients of x and x^2 are equal for all positive integers a and b, prove that 3(a+b)=a^2+b^2.
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-> SOLUTION: In the expansion of (1+x)^a + (1+x)^b , the coefficients of x and x^2 are equal for all positive integers a and b, prove that 3(a+b)=a^2+b^2.
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Question 1095379: In the expansion of (1+x)^a + (1+x)^b , the coefficients of x and x^2 are equal for all positive integers a and b, prove that 3(a+b)=a^2+b^2. Answer by ikleyn(52921) (Show Source):
